Title :
The three-wave method for the asymmetric Nizhnik-Novikov-Vesselov equation
Author :
He, Ping ; Zhang, Defei
Author_Institution :
Dept. of Math., Honghe Univ., Mengzi, China
Abstract :
In this paper, the asymmetric Nizhnik-Novikov-Vesselov equation is studied by using extended three-soliton method. The new exact solutions including discontinuous periodic wave solution, two-soliton wave solution, three solitary wave solution and smooth solitary wave solution for the asymmetric Nizhnik-Novikov-Vesselov equation are obtained. Their dynamic properties of some exact solutions are discussed and their profiles of these solutions are given by Maple.
Keywords :
nonlinear differential equations; solitons; wave equations; Maple; asymmetric Nizhnik-Novikov-Vesselov equation; discontinuous periodic wave solution; dynamic property; extended three-soliton method; nonlinear partial differential equations; smooth solitary wave solution; three solitary wave solution; three-wave method; two-soliton wave solution; Computers; Educational institutions; Equations; Mathematical model; Presses; Solitons;
Conference_Titel :
Natural Computation (ICNC), 2012 Eighth International Conference on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4577-2130-4
DOI :
10.1109/ICNC.2012.6234506
